Convergent Perturbation Series for the Anharmonic Oscillator

Halliday, I.G.; Suranyi, P.

doi:10.1016/0370-2693(79)91287-5

Convergent Perturbation Series for the Anharmonic Oscillator

Apr, 1979

3 pages

Published in:

Phys.Lett.B 85 (1979) 421-423

Published: 1979

DOI:

10.1016/0370-2693(79)91287-5

Report number:

ICTP/78-79/17

View in:

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Abstract: (Elsevier)

We derive a new perturbation expansion for the energy levels of the anharmonic oscillator that - contrary to all previous expansions - is convergent. The convergence of the expansion persists both in the weak and strong coupling limits. Three terms in the series give the ground state energy to about one per cent.

QUANTUM MECHANICS
MODEL: OSCILLATOR
PERTURBATION THEORY: HIGHER-ORDER
ENERGY LEVELS
MODEL: STRONG COUPLING

References(4)

Figures(0)

- Zh.Eksp.Teor.Fiz. 25 116

Perturbation Theory at Large Order. 1. The phi**2N Interaction

E. Brezin
(
- Saclay
)
,
J.C. Le Guillou
(
- Paris U., VI-VII
)
,
Jean Zinn-Justin
(
- Saclay
)

- Phys.Rev.D 15 (1977) 1544-1557,
- Also in *Le Guillou, J.C. (ed.), Zinn-Justin, J. (ed.): Large-order behaviour of perturbation theory* 91-104
•
DOI:
- 10.1103/PhysRevD.15.1544

- Phys.Rev.D 15 1588

Quantum Theory of Anharmonic Oscillators: Energy Levels of a Single and a Pair of Coupled Oscillators with Quartic Coupling

- Phys.Rept. 43 (1978) 305-335
•
DOI:
- 10.1016/0370-1573(78)90097-2